SOLUTION: Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.) A = 128

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.) A = 128      Log On


   

Question 1073306: Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.)
A = 128.8°, a = 20.8 cm, b = 45.3 cm
First triangle (assume B ≤ 90°):
B= °
C = °
c = cm

Second triangle (assume B' > 90°):
B'= °
C'= °
c'= cm
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First off, B cannot be greater than 90 since,
A%2BB%3E180 and it's required that,
A%2BB%2BC=180
Use the law of sines to calculate B.
sin%28B%29%2Fb=sin%28A%29%2Fa
sin%28B%29%2F45.3=sin%28128.8%29%2F20.8
sin%28B%29=1.697
This triangle is not possible.